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Finding the Third Proportional to 203,546,504,864 and 447,470,834,068

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Solution

The third proportional to 203,546,504,864 and 447,470,834,068 is: 983,707,126,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,546,504,864 : 447,470,834,068 = 447,470,834,068 : x
  2. Step 2: Convert to fraction form
    203,546,504,864/447,470,834,068 = 447,470,834,068/x
  3. Step 3: Cross multiply
    203,546,504,864x = 447,470,834,068 × 447,470,834,068
  4. Step 4: Simplify right side
    203,546,504,864x = 200,230,147,341,511,592,771,584
  5. Step 5: Solve for x
    x = 200,230,147,341,511,592,771,584/203,546,504,864
  6. Step 6: Final answer
    x = 983,707,126,169.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.